Name: Maryanna Jasiak
I looked up the actual record on ancestry for you. It is a bit illegible. There were 5 people traveling together, likely a family.
Jozwiak, Antoni (age 25)
Jasiak, Maryanna ( 30)
Jasiak, Maryanna (7)
Jasiak, Dominika (2)
Jasiak, Alexandra (1)
They're listed as not being able to read or write, so the names likely got spelled as they were heard. They're listed as ethnic Poles from the Russian partition.
They were heading to Jamaica, Long Island to a brother named "Josef Jasiak".
The town they came from is unfortunately mostly illegible. It could easily be interpreted as "Brzchyn" or something similar.
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I found them on the 1905 NY census listed as Jasiak living on North 6th Street in Brooklyn.
It looks like the Antoni and Josef were brothers, and Maryanna and her three daughters were joining her husband Josef. It looks like Josef emigrated in 1900. He's listed as working as a day laborer and his wife doing housework. The children were in school.
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Looks like they eventually settled in Massachusetts and had a few more children. There's a family tree on ancesty with some more info:
trees.ancestry.com/tree/19734432/family?cfpid=29333922682
They list the birth place of
Jozef Jasiak and Maryanna Wisniewska as Kaliski, Mazowieckie, Poland. That makes the town listed in the ship manifest likely to be:
Gmina Brzeziny in Powiat Kaliski, Wielkopolskie.
Hope that helps!